Lectures related to Accuracy and Stability: Algorithms Performance

Explores dichotomy search algorithms, analyzing complexity and implementation details for efficient searching in sorted lists.

Covers numerical integration methods, focusing on the trapezoidal rule and iterative processes.

Explores molecular dynamics simulations under holonomic constraints, focusing on numerical integration and algorithm formulation.

Explores error analysis in ordinary differential equations and convergence criteria for numerical methods.

Introduces an improved algorithm for three-color parity games, focusing on progress measures, acceleration, and practical speed-up.

Explores numerical methods for solving ODE systems, stability regions, and absolute stability importance.

Discusses the variational formulation of the heat equation using the finite element method.

Explains the Euler method and higher-order Runge-Kutta schemes for solving differential equations.